Answer:
1 1/3 cups of juice
Step-by-step explanation:
Let the volume of the container be c, which is measured in cups.
Then (2/3)c = (8/9) cups juice. We must solve this for the container volume, c.
(8/9) cups
c = ----------------
2/3
Inverting the divisor (2/3) and multiplying, we get:
3(8/9 cups)
c = ------------------ = 12/9 cups, or 4/3 cups, or 1 1/3 cups.
2
The container originally held 1 1/3 cups of joice.
Answer:
51÷41
Step-by-step explanation:
changing division form into multiplication by making its reciprocal
Answer:
y=1/2x-1
Step-by-step explanation:
Answer:
a₆ = 54
Step-by-step explanation:
The general term of an arithmetic sequence is: 
where, 
is the first term and
is the common difference.
The 
term of the sequence is given by 
.
Therefore, 
∴ a₆ = 54
Answer:
157.6
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
From the question:
Mean = 140
Standard deviation = 40
Recidivism score = x score = ??
z = z score of 67th percentile = 0.44
Hence,
0.44 = x - 140/40
Cross Multiply
0.44 × 40 = x - 140
17.6 = x - 140
x = 140 + 17.6
x = 157.6
Therefore, his corresponding recidivism score is 157.6
